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arxiv: 1308.4580 · v1 · pith:QB5YJ66Qnew · submitted 2013-08-21 · 🧮 math.RA

Filiform Lie algebras of dimension 8 as degenerations

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keywords algebraalgebrasfiliformnilpotentalreadyanothercaracteristicallycomplex
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For each complex 8-dimensional filiform Lie algebra we find another non isomorphic Lie algebra that degenerates to it. Since this is already known for nilpotent Lie algebras of rank $\ge 1$, only the caracteristically nilpotent ones should be considered.

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